Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x \leq 0 \\ - x & \text { if } x > 0 \end{array} ; \right.$

question 231

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
-

• A) \(f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x \leq 0 \\ - x & \text { if } x > 0 \end{array} ; \right.\) Domain: \(( \infty , \infty )\), Range: \(( \infty , 0 ) \cup \{ 5 \}\)
• B) \(f ( x ) = \left\{ \begin{array} { l } 5 \text { if } x < 0 \\ x \text { if } x \geq 0 \end{array} ; \right.\) Domain: \(( \infty , 0 ] \cup ( 5 )\), Range: \(( \infty , \infty )\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x < 0 \\ - 5 x & \text { if } x \geq 0 \end{array} ; \right.\) Domain: \(( \infty , 0 ) \cup \{ 5 \}\), Range: \(( \infty , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 5 & \text { if } x < 0 \\ - x & \text { if } x \geq 0 \end{array} ; \right.\) Domain: \(( \infty , \infty )\), Range: \(( \infty , 0 ] \cup \{ 5 \}\)

---

Definitions:

Second-Generation Antipsychotic

A class of medication primarily used to treat psychosis, including schizophrenia, marked by fewer extrapyramidal side effects than first-generation antipsychotics.

Clozapine

An antipsychotic medication used in the treatment of schizophrenia, particularly effective in patients resistant to other treatments.

Second-Generation Antipsychotic

A class of medication used to treat psychiatric conditions, characterized by fewer side effects compared to first-generation antipsychotics.

Schizophrenia

A persistent and intense mental illness marked by altered cognition, perception, feelings, speech, self-awareness, and actions.